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Example
Express the differential equation below as a set of first order
differential equations.
y
(3)
= sin
Procedure
1 m DIFF EQ
2 3(N-th)
3 3(
n
)dw
4 sv-3(
y
(n)
5 aw
aw
bw
aw
6 2( SYS)
7 w(Yes)
The differential equation is converted to a set of first order differential equations as shown
below.
y
dy
dx
y
(
)n =
/
= (
)
1
2
y
d
y
dx
y
(
)n =
2
/
2
= (
)
2
3
y
x
y
(
)n = sin
– (
) – (
3
2
Initial values are also converted to (
Result Screen
# On the system of first order differential
equations screen, dependent valuables are
expressed as follows.
4-4
Differential Equations of the Nth Order
n –
x
y
y
x
y
–
,
= 0,
= 0,
0
0
) b-3(
y
)cw
(n)
y
).
3
x
y
= 0), ((
)
0
1
0
n
y
y
= 1,
= 0.
0
0
y
y
= 0), ((
)
= 1), and ((
2
0
3
y
(
)
Y1
1
y
(
)
Y2
2
y
(
)
Y3
3
)
= 0)).
0
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